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Simplifying -3(a + -1) = 2(3a + -12) Reorder the terms: -3(-1 + a) = 2(3a + -12) (-1 * -3 + a * -3) = 2(3a + -12) (3 + -3a) = 2(3a + -12) Reorder the terms: 3 + -3a = 2(-12 + 3a) 3 + -3a = (-12 * 2 + 3a * 2) 3 + -3a = (-24 + 6a) Solving 3 + -3a = -24 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 3 + -3a + -6a = -24 + 6a + -6a Combine like terms: -3a + -6a = -9a 3 + -9a = -24 + 6a + -6a Combine like terms: 6a + -6a = 0 3 + -9a = -24 + 0 3 + -9a = -24 Add '-3' to each side of the equation. 3 + -3 + -9a = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -9a = -24 + -3 -9a = -24 + -3 Combine like terms: -24 + -3 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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